1) Geometry of submanifolds 2) Geometry of Tangent bundle 3) Conformal vector fields 4) Killing vector fields 5) Geometry of space time 6) Geometry of hypersurfaces 7) Differential equations on Riemannian manifolds 8) First eigenvalue of minimal hypersurfaces.
The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is necessarily an Einstein…
by
Sharief Deshmukh, Hana Al-Sodais, Gabriel-Eduard Vîlcu
We use a nontrivial concircular vector field u on the unit sphere Sn+1 in studying
geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere Sn+1
naturally inherits a…
by
Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu